List questions from local-field

Published on 10 May 2026 - 11:18

81

Views

Given a local field is the maximal unramifield extension always finite?

Published on 29 Apr 2026 - 12:05

137

Views

$(K^)$ in $K^$

Published on 30 Apr 2026 - 0:12

65

Views

How do we know that reducing $E/K$ commutes with the addition law for $K$ local field

Published on 07 May 2026 - 7:25

237

Views

How is $\operatorname{Gal}(K^{nr}/K)$ isomorphic to $\operatorname{Gal}(\bar{k}/k)$?

Published on 29 Apr 2026 - 12:16

883

Views

Extending a valuation of a local field

Published on 29 Apr 2026 - 12:16

573

Views

On the Galois group of the maximal $p$-abelian $p$-ramified extension of a number field

Published on 05 May 2026 - 11:06

242

Views

Finite extension of $K$,a finite extension of $\mathbb{Q}_p$, that is Galois?

Published on 29 Apr 2026 - 12:16

77

Views

Why is $E[2]$ of $E: y^2 = x^3 - p$ over $\mathbb{Q}_p$ ramified?

Published on 29 Apr 2026 - 12:15

339

Views

Are there any $\mathbb{Q}_p$ which contains the third root of unity?

Published on 05 May 2026 - 18:29

159

Views

Given a local field $K$ how does one obtain the maximal unramified extension of $K$?

Published on 06 May 2026 - 7:34

55

Views

Is $\mathbb{Q}_p(p^{2/3})$ an unramified extension?

Published on 10 May 2026 - 13:25

313

Views

Question about why inertia subgroup is a closed subgroup of the Galois group

Published on 29 Apr 2026 - 12:16

63

Views

How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

Published on 05 May 2026 - 6:18

897

Views

Dedekind domain with finite prime ideals is PID (a corollary on Serre's "Local fields" book).

Published on 10 May 2026 - 13:26

List Question

What is meant by a category of unramified extension of $K$ (a local field)?

Given a local field is the maximal unramifield extension always finite?

$(K^)$ in $K^$

How do we know that reducing $E/K$ commutes with the addition law for $K$ local field

How is $\operatorname{Gal}(K^{nr}/K)$ isomorphic to $\operatorname{Gal}(\bar{k}/k)$?

Extending a valuation of a local field

On the Galois group of the maximal $p$-abelian $p$-ramified extension of a number field

Finite extension of $K$,a finite extension of $\mathbb{Q}_p$, that is Galois?

Why is $E[2]$ of $E: y^2 = x^3 - p$ over $\mathbb{Q}_p$ ramified?

Are there any $\mathbb{Q}_p$ which contains the third root of unity?

Given a local field $K$ how does one obtain the maximal unramified extension of $K$?

Is $\mathbb{Q}_p(p^{2/3})$ an unramified extension?

Question about why inertia subgroup is a closed subgroup of the Galois group

How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

Dedekind domain with finite prime ideals is PID (a corollary on Serre's "Local fields" book).

Trending Questions

Popular # Hahtags

Popular Questions